Prime p₀= 589914008509402007 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 58 2 10 2 (?)
a_n: 0 2 30 32 54 56 72 74 132 134 144 146
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: UBT - Timbo
db: batch=71, k=12, 28 22 16 58 10

SPT(14)	589913956610803177	0 52 70 72 84 94 124 210 240 250 262 264 282 334	-51898598830
TPT(12)	589913959211923901	0 2 60 62 78 80 216 218 300 302 396 398	-49297478106
SPT(14)	589913973826572739	0 4 40 54 60 64 94 114 144 148 154 168 204 208	-34682829268
SPT(14)	589913987104356757	0 6 10 12 16 42 72 94 124 150 154 156 160 166	-21405045250
SPT(14)	589914002179999711	0 16 30 42 90 96 106 132 142 148 196 208 222 238	-6329402296
TPT(12)	589914007659402029	0 2 48 50 162 164 168 170 282 284 288 290	-849999978
SPT(14)	589914015740865961	0 22 28 46 78 88 112 186 210 220 252 270 276 298	7231463954
SPT(14)	589914029703974873	0 20 30 44 50 98 104 144 150 198 204 218 228 248	21194572866
SPT(14)	589914032789379517	0 4 46 60 70 94 112 174 192 216 226 240 282 286	24279977510
STPT(10)	589914040849965617	0 2 30 32 60 62 90 92 120 122	32340563610
TPT(12)	589914042912900779	0 2 78 80 138 140 162 164 168 170 192 194	34403498772